Provide an appropriate response.A second derivative will not exist for a function at a point if 
.
A. The function is not defined at the point, the first derivative is discontinuous at the point; the first derivative has a corner or similar sharp change in direction at the point; the first derivative has a vertical tangent at the point.
B. The first derivative is not defined at the point; the first derivative is discontinuous at the point; the first derivative has a corner or similar sharp change in direction at the point; or the first derivative has a horizontal tangent at the point.
C. The first derivative is not defined at the point, the first derivative is discontinuous at the point, the first derivative has a limit at the point; or the function has a vertical tangent at the point.
D. The function is not defined at the point, the function is discontinuous at the point; the first derivative has a peak or a valley at the point, or the function has a vertical tangent at the point.
Answer: A
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